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人気のある微分積分 >

integral from 2 to x of t^4

解

\int_{2}^{x} t^{4} d t

解

\frac{x ^{5} - 32}{5}

解答ステップ

\int_{2}^{x} t^{4} d t

べき乗則を適用する

= [\frac{t ^{5}}{5}]_{2}^{x}

限度を計算する:

\frac{x ^{5}}{5} - \frac{32}{5}

= \frac{x ^{5}}{5} - \frac{32}{5}

簡素化

= \frac{x ^{5} - 32}{5}

人気の例

integral from 3 to 8 of 1

\int_{3}^{8} 1 d x

integral from 0 to 1 of (7x^2-4x+6)

\int_{0}^{1} (7 x^{2} - 4 x + 6) d x

integral from-7 to 1 of xsqrt(2-x)

\int_{- 7}^{1} x 2 - x d x

integral from-1 to 2 of [(x^2)-(x+2)]

\int_{- 1}^{2} [(x^{2}) - (x + 2)] d x

integral from 0 to 28 of sqrt(1+9/4 x)

\int_{0}^{28} 1 + \frac{9}{4} x d x